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Finding the Fourth Proportional to 163.23, 245.81 and 145.12

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Solution

The fourth proportional to 163.23, 245.81 and 145.12 is: 218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.23 : 245.81 = 145.12 : x
  2. Step 2: Convert to fraction form
    163.23/245.81 = 145.12/x
  3. Step 3: Cross multiply
    163.23x = 245.81 × 145.12
  4. Step 4: Simplify right side
    163.23x = 35,671.06
  5. Step 5: Solve for x
    x = 35,671.06/163.23
  6. Step 6: Final answer
    x = 218.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.